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Finding the Third Proportional to 233.61 and 505.93

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Solution

The third proportional to 233.61 and 505.93 is: 1,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.61 : 505.93 = 505.93 : x
  2. Step 2: Convert to fraction form
    233.61/505.93 = 505.93/x
  3. Step 3: Cross multiply
    233.61x = 505.93 × 505.93
  4. Step 4: Simplify right side
    233.61x = 255,968.80
  5. Step 5: Solve for x
    x = 255,968.80/233.61
  6. Step 6: Final answer
    x = 1,095.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.